An exact solution to the stabilization of discrete systems using a first-order controller |
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| Authors: | Yu P. Wu Z. |
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| Affiliation: | Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada; |
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| Abstract: | An exact solution is derived for stabilizing a given but arbitrary, linear time-invariant discrete system by a first-order discrete-time feedback controller, which has received considerable attention in the past few years. An approach has been recently proposed to compute the first-order controllers, given in the form of C(z)=(zx/sub 1/+x/sub 2/)/(z+x/sub 3/). This approach derives the stabilizing set in the x/sub 1/-x/sub 2/ plane by fixing x/sub 3/, and then repeat the procedure by sweeping over all possible values of x/sub 3/. In this note, from the geometrical point of view, we present an exact solution to the problem. |
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